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Finding the Third Proportional to 8,214,129 and 12,769,164

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Solution

The third proportional to 8,214,129 and 12,769,164 is: 19,850,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214,129 : 12,769,164 = 12,769,164 : x
  2. Step 2: Convert to fraction form
    8,214,129/12,769,164 = 12,769,164/x
  3. Step 3: Cross multiply
    8,214,129x = 12,769,164 × 12,769,164
  4. Step 4: Simplify right side
    8,214,129x = 163,051,549,258,896
  5. Step 5: Solve for x
    x = 163,051,549,258,896/8,214,129
  6. Step 6: Final answer
    x = 19,850,132.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.